212409297124128 has 144 divisors (see below), whose sum is σ = 652346262542520. Its totient is φ = 65171559923712.

The previous prime is 212409297124103. The next prime is 212409297124151. The reversal of 212409297124128 is 821421792904212.

212409297124128 is a `hidden beast` number, since 2 + 1 + 2 + 40 + 92 + 97 + 12 + 412 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89252837706384 + 123156459417744 = 9447372^2 + 11097588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79037083 + ... + 81680346.

Almost surely, 2^{212409297124128} is an apocalyptic number.

It is an amenable number.

212409297124128 is an abundant number, since it is smaller than the sum of its proper divisors (439936965418392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212409297124128 is a wasteful number, since it uses less digits than its factorization.

212409297124128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160717811 (or 160717800 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 212409297124128 in words is "two hundred twelve trillion, four hundred nine billion, two hundred ninety-seven million, one hundred twenty-four thousand, one hundred twenty-eight".